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Finding the Fourth Proportional to 37,218, 55,794 and 13,828.02

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Solution

The fourth proportional to 37,218, 55,794 and 13,828.02 is: 20,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,218 : 55,794 = 13,828.02 : x
  2. Step 2: Convert to fraction form
    37,218/55,794 = 13,828.02/x
  3. Step 3: Cross multiply
    37,218x = 55,794 × 13,828.02
  4. Step 4: Simplify right side
    37,218x = 771,520,547.88
  5. Step 5: Solve for x
    x = 771,520,547.88/37,218
  6. Step 6: Final answer
    x = 20,729.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.